This book provides a comprehensive exploration of the static and dynamical behaviours of functionally graded structures, bringing together a wide range of valuable insights. Detailed analyses of bending, buckling, and vibration, are conducted. Additionally, the book showcases cutting-edge modelling techniques for static and dynamic problems, employing analytical, semi-analytical, and numerical approaches. The content of this book is designed to benefit researchers, undergraduate and graduate students, and industry professionals across various disciplines, including structural, mechanical, civil, aerospace engineering, applied mathematics as well as mathematical physics. Moreover, it serves as a valuable resource for educators, as it can be utilized for teaching classical and advanced structural dynamics, computational solid mechanics, along with related computational methods.
Key Features:
- Comprehensive coverage of the latest research and developments of functionally graded structures, providing readers with a valuable resource for advancing their understanding of this important area.
- Presents various computational procedures along with their corresponding simulation results, thereby providing a comprehensive understanding of the topic.
- Addresses the challenges posed by various complicating effects in the mathematical modelling of FG structures.
- Includes different analytical, semi-analytical, and numerical procedures for finding exact and/or approximate solutions of governing equations arising in FG systems.
- Contributions from expert authors with extensive experience in the field, covering diverse range of perspectives and insights.
Table of Contents:
Preface
Acknowledgements
Editors’ biographies
List of contributors
1 The static behavior of functionally graded beams
2 The static behavior of functionally graded sandwich beams
3 The static behavior of functionally graded plates
4 A static bending analysis of porous functionally graded sandwich beams
5 Dynamic analysis of porous functionally graded shell structures using the generalized differential quadrature method
6 Assessing the effects of porosity on the buckling of functionally graded beams
7 Vibration and buckling problems of functionally graded structures
8 Free vibration analysis of porous functionally graded sandwich beams
9 The torsional vibration of functionally graded nanobeams
10 Determining the accurate free vibration response of thin functionally graded plates using the dynamic stiffness method
11 Effect of functionally graded magneto-electro-elastic facings on the damped nonlinear transient response of a sandwich plate with agglomerated CNT core
12 Lamb-type waves in functionally graded orthotropic piezoelectric plates
13 Analysis of Lamb wave propagation in a generalized thermoelastic functionally graded plate
Appendix
References
